SOLUTION: Solve. x^2 + 6x -4 = 0 Here's what I think is the answer. Can someone tell me if I'm on the right track? (-6 + sqrt (52)/2) (-6

SOLUTION: Solve. x^2 + 6x -4 = 0 Here's what I think is the answer. Can someone tell me if I'm on the right track? (-6 + sqrt (52)/2) (-6 - sqrt ( 52 )/2)

Question 133182: Solve.
x^2 + 6x -4 = 0
Here's what I think is the answer. Can someone tell me if I'm on the right track?
(-6 + sqrt (52)/2) (-6 - sqrt ( 52 )/2)
Found 2 solutions by vleith, jim_thompson5910:
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
You're on the right track, but you've got an error.
You used the quadratic equation, which is correct.

However, note that the entire answer is over 2a. Not just the radical portion. So the -6 in your answers need to be divided by 2. Also, yo can simplfy into
My answers are:
and
and
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let's use the quadratic formula to solve for x:

Starting with the general quadratic

the general solution using the quadratic equation is:

So lets solve ( notice , , and )

Plug in a=1, b=6, and c=-4

Square 6 to get 36

Multiply to get

Combine like terms in the radicand (everything under the square root)

Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

Multiply 2 and 1 to get 2

So now the expression breaks down into two parts

or

Now break up the fraction

or

Simplify

or

-------------------------------------------

Answer:

So the exact solutions are

or

So you are on the right track, but could simplify the answer.
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